The first choice is correct. No, the rectangle cannot have x=60 and y=11 because x=48+2y.
Perimeter is x=2w+2y. Therefore x=2(24)+2(11) which equals 70 not 60.
I just graphed the table next to the graph of g and compared the two.
The y-intercept of f is (0,8) and the y-intercept of g is (0, -2). So f is GREATER THAN the y-intercept of g.
Now to do the average rate of change, I see from the interval [-6,-3] that f is decreasing and for g it is increasing. Thus f is LESS THAN the average rate of change of g.
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Let's start with our parent function:
f(x) = sin x
One cycle on this graph occurs between 0 and 2π. Therefore, our b-value is one.
There is no vertical shift up. The sinusoidal axis is along y = 0.
The wave is not inverted, it starts at the origin and rises on both the y and x axis. Thus there is no negative value before the function.
The amplitude of the wave is 3. A normal sine wave rises to a maximum of 1, but this is multiplied by 3.
f(x) = 3 sin x
There are an infinite amount of equations that could be used to represent this graph, but this is perhaps the most intuitive.